Similarly, we can update \({\bf A}\)  given \({\bf B}\)  and \({\bf C}\) , as in the Alternating Least Squares (ALS) method for CP decomposition [1]}, [2]}.
It is worth comparing the method with the standard ALS. The step of updating \({\bf C}\)  with fixed \({\bf A},{\bf B}\)  is
\(\hat{{\bf C}}={\bf T}_{(3)}({\bf B}\odot {\bf A}){\bf G}^{-1}\) 
